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Recent questions tagged determinant
0
votes
1
answer
1
ISI2018MMA14
Let $A$ be a $3× 3$ real matrix with all diagonal entries equal to $0$. If $1 + i$ is an eigenvalue of $A$, the determinant of $A$ equals $4$ $2$ $2$ $4$
asked
May 11
in
Linear Algebra
by
akash.dinkar12
Boss
(
40.4k
points)

51
views
isi2018
engineeringmathematics
linearalgebra
eigenvalue
determinant
0
votes
1
answer
2
ISI2018MMA13
If $A =\begin{bmatrix} 2 &i \\ i & 0 \end{bmatrix}$ , the trace of $A^{10}$ is $2$ $2(1+i)$ $0$ $2^{10}$
asked
May 11
in
Linear Algebra
by
akash.dinkar12
Boss
(
40.4k
points)

41
views
isi2018
engineeringmathematics
linearalgebra
determinant
+3
votes
4
answers
3
GATE20199
Let $X$ be a square matrix. Consider the following two statements on $X$. $X$ is invertible Determinant of $X$ is nonzero Which one of the following is TRUE? I implies II; II does not imply I II implies I; I does not imply II I does not imply II; II does not imply I I and II are equivalent statements
asked
Feb 7
in
Linear Algebra
by
Arjun
Veteran
(
405k
points)

1.7k
views
gate2019
engineeringmathematics
linearalgebra
determinant
0
votes
1
answer
4
GATEBOOK2019 Mock Test112
All the four entries of $2\times 2$ matrix $P = \begin{vmatrix} p_{11} \quad p_{12} \\ p_{21} \quad p_{22} \end{vmatrix}$ are non zero , and one of its eigen values is zero. Which of the following statements is TRUE? $p_{11}p_{22}  p_{12}p_{21} = 1$ $p_{11}p_{22}  p_{12}p_{21} = 1$ $p_{11}p_{22}  p_{12}p_{21} = 0$ $p_{11}p_{22} + p_{12}p_{21} = 0$
asked
Jan 19
in
Others
by
GATEBOOK
Boss
(
11.4k
points)

88
views
gb2019mock1
linearalgebra
eigenvalue
determinant
0
votes
0
answers
5
Self Doubt
If M is a square matrix with a zero determinant, which of the following assertion (s) is (are) correct? S1: Each row of M can be represented as a linear combination of the other rows S2: Each column of M can be represented as a linear combination of the other columns True or false
asked
Dec 9, 2018
in
Linear Algebra
by
jatin khachane 1
Loyal
(
6.7k
points)

61
views
engineeringmathematics
determinant
0
votes
0
answers
6
ISI2017MMA19
If $\alpha, \beta$ and $\gamma$ are the roots of $x^3px+q=0$, then the value of the determinant $\begin{vmatrix} \alpha & \beta & \gamma \\ \beta & \gamma & \alpha \\ \gamma & \alpha & \beta \end{vmatrix}$ is $p$ $p^2$ $0$ $p^2+6q$
asked
Sep 15, 2018
in
Linear Algebra
by
jothee
Veteran
(
96.1k
points)

12
views
isi2017
engineeringmathematics
linearalgebra
determinant
+3
votes
2
answers
7
ISI2017MMA19
If $\alpha, \beta$ and $\gamma$ are the roots of $x^3  px +q = 0$, then the value of the determinant $\begin{vmatrix}\alpha & \beta & \gamma\\\beta & \gamma & \alpha\\\gamma & \alpha & \beta\end{vmatrix}$ is $p$ $p^2$ $0$ $p^2+6q$
asked
Mar 28, 2018
in
Linear Algebra
by
jjayantamahata
Active
(
1.3k
points)

263
views
isi2017
engineeringmathematics
linearalgebra
determinant
+13
votes
2
answers
8
GATE 2013 ECA27
Let A be an mxn matrix and B an nxm matrix. It is given that determinant ( Im + AB ) = determinant ( In + BA ) , where Ik is the k×k identity matrix. Using the above property, the determinant of the matrix given below is $\begin{bmatrix} 2& 1& 1& 1\\ 1& 2& 1& 1\\ 1& 1& 2& 1\\ 1& 1& 1& 2 \end{bmatrix}$ A) 2 B) 5 C) 8 D) 16
asked
Jun 21, 2017
in
Linear Algebra
by
the.brahmin.guy
Junior
(
515
points)

1.1k
views
gate2013ec
linearalgebra
engineeringmathematics
normal
determinant
+4
votes
2
answers
9
ISRO200963
$\begin{vmatrix} 265 && 240 && 219 \\ 240 && 225 && 198 \\ 219 && 198 && 181 \\ \end{vmatrix}$ = 779 679 0 256
asked
Jun 3, 2016
in
Linear Algebra
by
Desert_Warrior
Loyal
(
7.9k
points)

1.7k
views
isro2009
linearalgebra
matrices
determinant
+3
votes
1
answer
10
ISRO200831
If the two matrices $\begin{bmatrix} 1 &0 &x \\ 0 & x& 1\\ 0 & 1 & x \end{bmatrix}$ and $\begin{bmatrix} x &1 &0 \\ x & 0& 1\\ 0 & x & 1 \end{bmatrix}$ have the same determinant, then the value of $x$ is $\frac{1}{2}$ $\sqrt2$ $\pm \frac{1}{2}$ $\pm \frac{1}{\sqrt2}$
asked
Jun 1, 2016
in
Linear Algebra
by
jaiganeshcse94
Active
(
1k
points)

1.2k
views
isro2008
linearalgebra
matrices
determinant
+15
votes
4
answers
11
GATE2005IT3
The determinant of the matrix given below is $\begin{bmatrix} 0 &1 &0 &2 \\ 1& 1& 1& 3\\ 0&0 &0 & 1\\ 1& 2& 0& 1 \end{bmatrix}$ $1$ $0$ $1$ $2$
asked
Nov 3, 2014
in
Linear Algebra
by
Ishrat Jahan
Boss
(
16.3k
points)

1.7k
views
gate2005it
linearalgebra
normal
determinant
+11
votes
1
answer
12
GATE19971.3
The determinant of the matrix $\begin{bmatrix} 6 & 8 & 1 & 1 \\ 0 & 2 & 4 & 6 \\ 0 & 0 & 4 & 8 \\ 0 & 0 & 0 & 1 \end{bmatrix}$ $11$ $48$ $0$ $24$
asked
Sep 29, 2014
in
Linear Algebra
by
Kathleen
Veteran
(
52k
points)

698
views
gate1997
linearalgebra
normal
determinant
+24
votes
6
answers
13
GATE201424
If the matrix $A$ is such that $A= \begin{bmatrix} 2\\ −4\\7\end{bmatrix}\begin{bmatrix}1& 9& 5\end{bmatrix}$ then the determinant of $A$ is equal to ______.
asked
Sep 28, 2014
in
Linear Algebra
by
jothee
Veteran
(
96.1k
points)

2.1k
views
gate20142
linearalgebra
numericalanswers
easy
determinant
+19
votes
3
answers
14
GATE20133
Which one of the following does NOT equal $\begin{vmatrix} 1 & x & x^{2}\\ 1& y & y^{2}\\ 1 & z & z^{2} \end{vmatrix} \quad ?$ $\begin{vmatrix} 1& x(x+1) & x+1\\ 1& y(y+1) & y+1\\ 1& z(z+1) & z+1 \end{vmatrix}$ ... $\begin{vmatrix} 2& x+y & x^{2}+y^{2}\\ 2 & y+z & y^{2}+z^{2}\\ 1 & z & z^{2} \end{vmatrix}$
asked
Sep 23, 2014
in
Linear Algebra
by
Arjun
Veteran
(
405k
points)

1.9k
views
gate2013
linearalgebra
normal
determinant
+14
votes
4
answers
15
GATE20001.3
The determinant of the matrix $\begin{bmatrix}2 &0 &0 &0 \\ 8& 1& 7& 2\\ 2& 0&2 &0 \\ 9&0 & 6 & 1 \end{bmatrix}$ $4$ $0$ $15$ $20$
asked
Sep 14, 2014
in
Linear Algebra
by
Kathleen
Veteran
(
52k
points)

1.1k
views
gate2000
linearalgebra
easy
determinant
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